The relation between frequency 'n' wavelength `'lambda'` and velocity of propagation 'v' of wave is

Options

A. `upsilon=lamda/v`
B. `v=lamdav`
C. `v=v/lamda`
D. None of these

Explanation

To find the relation between frequency (n), wavelength (λ), and velocity of propagation (v) of a wave, we can start from the basic definitions of these terms.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- **Frequency (n)**: The number of cycles of a wave that pass a point in one second, measured in Hertz (Hz).
- **Wavelength (λ)**: The distance between consecutive crests (or troughs) of a wave, measured in meters (m).
- **Velocity (v)**: The speed at which the wave propagates through a medium, measured in meters per second (m/s).

2. **Establish the Relationship**:
- The relationship between these three quantities can be derived from the basic wave equation. The velocity of a wave is equal to the product of its frequency and wavelength.
- Mathematically, this is expressed as:
\[ v = n \cdot \lambda \]
- Here, \(v\) is the velocity, \(n\) is the frequency, and \(λ\) is the wavelength.

3. **Rearranging the Equation**:
- If we want to express frequency in terms of velocity and wavelength, we can rearrange the equation:
\[ n = \frac{v}{\lambda} \]
- This shows that frequency is equal to the velocity divided by the wavelength.

4. **Conclusion**:
- Therefore, the correct relation between frequency, wavelength, and velocity of propagation of a wave is:
\[ v = n \cdot \lambda \]

### Final Answer:
The relation between frequency (n), wavelength (λ), and velocity of propagation (v) of a wave is given by:
\[ v = n \cdot \lambda \]

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